The fan you need will depend on your graphics type integrated or amd.
Cpu fan failure dell inspiron.
Desktop pcs have more than one fan processor cpu dedicated or discreet video card gpu power supply psu and one or more chassis case fans.
Lint and dust accumulation prevents air from flowing around the cooling fins and causes the fan to work harder.
Most expensive will be dell or geek squad etc.
Assuming you have the original dell fan it would appear the electronics in the fan have failed even though the fan is working.
If you have run full system diagnostics from f12 and the same error is displayed then you are probably looking at a bad fan.
Your dell pc may contain several fans to keep the internal components cool.
Least expensive way is to replace the fan yourself.
Locations that charge a flat rate for the job.
Inspiron 5559 out of warranty cpu fan failure.
If the fan is not working then i have to assume the system is shutting down as the cpu will overheat.